Information on Result #3048770
There is no (67, 218, 215)-net in base 3, because 8 times m-reduction would yield (67, 210, 215)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3210, 215, S3, 143), but
- the (dual) Plotkin bound shows that M ≥ 141158 163862 183763 292171 284564 016760 661754 655311 572624 335224 092241 585052 457078 933432 718798 844642 935441 / 8 > 3210 [i]
Mode: Bound.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.